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427170000 = 2435429491
BaseRepresentation
bin11001011101100…
…001100011010000
31002202210111002010
4121131201203100
51333323420000
6110215422520
713404612405
oct3135414320
91082714063
10427170000
111aa143164
12bb084a40
136a66541a
1440a382ac
152777dd50
hex197618d0

427170000 has 200 divisors, whose sum is σ = 1429417440. Its totient is φ = 109760000.

The previous prime is 427169969. The next prime is 427170013. The reversal of 427170000 is 71724.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869755 + ... + 870245.

Almost surely, 2427170000 is an apocalyptic number.

427170000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714708720).

427170000 is an abundant number, since it is smaller than the sum of its proper divisors (1002247440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427170000 is a wasteful number, since it uses less digits than its factorization.

427170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 427170000 is about 20668.0913487434. The cubic root of 427170000 is about 753.1247410225.

The spelling of 427170000 in words is "four hundred twenty-seven million, one hundred seventy thousand".